|
| |
|
|
A085697
|
|
a(n) = T(n+2)^2, where T(n) = tribonacci numbers (A000073).
|
|
6
| |
|
|
1, 1, 4, 16, 49, 169, 576, 1936, 6561, 22201, 75076, 254016, 859329, 2907025, 9834496, 33269824, 112550881, 380757169, 1288092100, 4357584144, 14741602225, 49870482489, 168710633536, 570743986576, 1930813074369, 6531893843049
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,3,6,-1,0,-1)
|
|
|
FORMULA
| G.F. ( 1-x-x^2-x^3 ) / ( (x^3+x^2+3*x-1)*(x^3-x^2-x-1) ).
a(n+6) = 2 a(n+5) + 3 a(n+4) + 6 a(n+3) - a(n+2) - a(n)
a(n) = (-A057597(n)+3*A057597(n+1)+6*A057597(n+2)+5*A113300(n+1)-A099463(n))/11 . [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 19 2008]
|
|
|
PROG
| (Maxima) t[0]:1$
t[1]:1$
t[2]:2$
t[n]:=t[n-1]+t[n-2]+t[n-3]$
makelist(t[n]^2, n, 0, 12); /* Emanuele Munarini, Mar 01 2011 */
|
|
|
CROSSREFS
| Sequence in context: A202349 A188501 A173712 * A203094 A121184 A203840
Adjacent sequences: A085694 A085695 A085696 * A085698 A085699 A085700
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Emanuele Munarini (munarini(AT)mate.polimi.it), Jul 18 2003
|
| |
|
|
